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相关论文: An FFT-accelerated PML-BIE Solver for Three-Dimens…

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For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive, since they are formulated on lower-dimension boundaries or interfaces, and can automatically satisfy outgoing radiation…

数值分析 · 数学 2018-04-24 Wangtao Lu , Ya Yan Lu , Jianliang Qian

Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media in both two and three dimensions. The…

数值分析 · 数学 2022-11-03 Wangtao Lu , Liwei Xu , Tao Yin , Lu Zhang

This paper proposes a new boundary integral equation (BIE) methodology based on the perfectly matched layer (PML) truncation technique for solving the electromagnetic scattering problems in a multi-layered medium. Instead of using the…

数值分析 · 数学 2024-01-30 Gang Bao , Wangtao Lu , Tao Yin , Lu Zhang

This paper is concerned with the problem of an acoustic wave scattering in a locally perturbed periodic structure. As the total wavefield is non-quasi-periodic, effective truncation techniques are pursued for high-accuracy numerical…

数值分析 · 数学 2025-12-16 Wangtao Lu , Kuanrong Shen , Ruming Zhang

This paper presents a novel boundary integral equation (BIE) formulation for the two-dimensional time-harmonic water-waves problem. It utilizes a complex-scaled Laplace's free-space Green's function, resulting in a BIE posed on the infinite…

数值分析 · 数学 2023-10-09 Anne-Sophie Bonnet-Ben Dhia , Luiz M. Faria , Carlos Pérez-Arancibia

In this paper, we present a fast boundary integral method accelerated by the fast multipole method (FMM) for acoustic wave scattering governed by the scalar Helmholtz equation in multi-layered two-dimensional media. Multiple scatterers are…

数值分析 · 数学 2025-11-18 Linfeng Xia , Heng Yuan , Bo Wang , Wei Cai

This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two-dimensional penetrable obstacles. Our approach is built upon a direct BIE…

We present a numerical approach to the solution of elastic phonon scattering problems based on a frequency domain decomposition of the atomistic equations of motion and the use of perfectly matched layer or PML boundaries. Unlike MD…

介观与纳米尺度物理 · 物理学 2017-01-27 Rohit R. Kakodkar , Joseph P. Feser

Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable, and isotropic elastic solid, which is immersed in a homogeneous compressible air or fluid. The paper concerns the numerical solution for such an…

数值分析 · 数学 2017-03-10 Xue Jiang , Peijun Li

This paper studies the PML method for wave scattering in a half space of homogeneous medium bounded by a two-dimensional, perfectly conducting, and locally defected periodic surface, and develops a high-accuracy boundary-integral-equation…

数值分析 · 数学 2021-08-03 Xiuchen Yu , Guanghui Hu , Wangtao Lu , Andreas Rathsfeld

In anisotropic media, the standard perfectly matched layer (PML) technique suffers irrevocable instability in terminating the unbounded problem domains. It remains an open question whether a stable PML-like absorbing boundary condition…

数值分析 · 数学 2021-11-23 Yong Gao , Wangtao Lu

Three types of boundary integral equation (BIE) methods are employed to obtain closed-form solutions of a wave-scattering problem which are compared to the exact, closed-form (reference), solution deriving from the separation-of-variables…

地球物理 · 物理学 2020-12-22 Armand Wirgin

We present a high-order boundary integral equation (BIE) method for the frequency-domain acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We apply it to the accurate numerical study of acoustic…

数值分析 · 数学 2024-03-19 Fruzsina J. Agocs , Alex H. Barnett

This paper introduces a novel class of indirect boundary integral equation (BIE) formulations for the solution of electromagnetic scattering problems involving smooth perfectly electric conductors (PECs) in three-dimensions. These…

数值分析 · 数学 2025-05-29 Juan Burbano-Gallegos , Carlos Pérez-Arancibia , Catalin Turc

This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary…

数值分析 · 数学 2016-11-18 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

We propose a novel method for the efficient and accurate iterative solution of frequency domain integral equations (IEs) that are used for large/multi-scale electromagnetic scattering problems. The proposed method uses a novel…

数值分析 · 数学 2025-12-22 Enes Koç , Mert Kalfa , Secil E. Dogan , Vakur B. Ertürk

A periodizing scheme and the method of fundamental solutions are used to solve acoustic wave scattering from doubly-periodic three-dimensional multilayered media. A scattered wave in a unit cell is represented by the sum of the near and…

数值分析 · 数学 2019-06-26 Min Hyung Cho

We aim to analyze and calculate time-dependent acoustic wave scattering by a bounded obstacle and a locally perturbed non-selfintersecting curve. The scattering problem is equivalently reformulated as an initial-boundary value problem of…

数值分析 · 数学 2023-01-18 Hongxia Guo , Guanghui Hu

This paper proposes a novel method to establish the wellposedness and convergence theory of the uniaxial-perfectly-matched-layer (UPML) method in solving a two-dimensional acoustic scattering problem due to a compactly supported source,…

数值分析 · 数学 2019-10-31 Wangtao Lu , Jun Lai , Haijun Wu

We analyze the well posedness of certain field-only boundary integral equations (BIE) for frequency domain electromagnetic scattering from perfectly conducting spheres. Starting from the observations that (1) the three components of the…

数值分析 · 数学 2023-03-28 Luiz Faria , Carlos Perez-arancibia , Catalin Turc
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